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Finding the Fourth Proportional to 215.32, 323.26 and 142.20

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Solution

The fourth proportional to 215.32, 323.26 and 142.20 is: 213.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.32 : 323.26 = 142.20 : x
  2. Step 2: Convert to fraction form
    215.32/323.26 = 142.20/x
  3. Step 3: Cross multiply
    215.32x = 323.26 × 142.20
  4. Step 4: Simplify right side
    215.32x = 45,967.57
  5. Step 5: Solve for x
    x = 45,967.57/215.32
  6. Step 6: Final answer
    x = 213.48

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.